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Finding the Fourth Proportional to 471.66, 706.93 and 266.32

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Solution

The fourth proportional to 471.66, 706.93 and 266.32 is: 399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.66 : 706.93 = 266.32 : x
  2. Step 2: Convert to fraction form
    471.66/706.93 = 266.32/x
  3. Step 3: Cross multiply
    471.66x = 706.93 × 266.32
  4. Step 4: Simplify right side
    471.66x = 188,269.82
  5. Step 5: Solve for x
    x = 188,269.82/471.66
  6. Step 6: Final answer
    x = 399.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.